Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:
where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is
Then the distance covered in the second part is 
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so
So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:
And therefore, the speed in the second part must be
(4x-3y)^2(4x-3y)
=(16x^2-24xy+9y^2)(4x-3y)
=64x^3-96x^2y+36xy^2-48x^2y+72xy^2-27y^3
=64x^2-144x^2y+108xy^2-27y^3
Here given, 
and 
we have to find 
which means the subtracting of the functions f(x) and g(x).
= 
= 
= 
( we know that multiplication of negative and negative is positive)
= 
=
We have got the required answer here.
8) factor 6+17g+10g^2
10g^2+17g+6
(5g+6)(2g+1)
C is the answer.
9) which one is a perfect square?
4x^2-14x+49 doesn't factor
4x^2-28x+49=(2x-7)(2x-7)
x^2-x+1 doesn't factor
x^2-2x+2 doesn't factor
B is the answer.
11) factor y^2-2y-48
(y+6)(y-8)
D is the answer
12) for the last one you can multiply the answers out of factor.
Sorry this took forever. It's hard to use the website cuz I'm used to the app.
Best wishes!
Answer:
7.855 inches
Step-by-step explanation:
The formula to find the length of an arc is :
Arc Length = 
× 2 π r
Here,
Θ ⇒ size of the angle ⇒ 30°
r ⇒ radius ⇒ 15 inches
<u>Let us solve it now.</u>
Arc length = × 2 π r
Arc length = 
Arc length = 
Arc length = 
Arc length = 7.855 inches
Let me know if you have any other questions. :)
